When an electric dipole of moment $|P|=q \times 2a$ is held at an angle $\theta$ with the direction of uniform external field E, a torque $T= PE \sin \theta$ acts on the dipole. This torque tries to align the electric dipole in the direction of the field. When P is along E $\theta =0^{\circ} , t= PE \sin 0=zero$ An electric dipole of length 10 cm having a charge $\pm6 \times 10^{-3} \;C$ placed at $30^{\circ}$ with respect to a uniform electric field experiences a torque of magnitude $6 \sqrt 3 N-m$ . Calculate magnitude of electric field.

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